Given the following defifinitions: S : the domain of all CPSC 121 students. G : the domain of all graded CPSC 121 activities. A ( x, y ): student x earns an “A” grade on activity y B ( x ): student x...

Given the following defifinitions:

• 
  S: the domain of all CPSC 121 students.

• 
  G: the domain of all graded CPSC 121 activities.

• 
  A(x, y): student
  x
  earns an “A” grade on activity
  y
  

• 
  B(x): student
  x
  receives a colourful balloon (from the CPSC 121 teaching team).

Now consider the predicate logic statements:

Statement 01:

∀
x

∈

S,

∀
g

∈

G, A(x, g)
↔

B(x)

Statement 02:

∀
x

∈

S,(∀
g

∈

G, A(x, g))
↔
B(x)

Statement 03:

∀
x

∈

S,(∀
g

∈

G,(∀
y

∈

S, A(y, g)))
↔

B(x)

Describe how these statements diffffer, in terms of who receives a balloon and under what

conditions.